Mechanochemical corrosion: Modeling and analytical benchmarks for initial boundary value problems with unknown boundaries

Abstract

In this paper various corrosion models are considered. Difficulties of the modeling of stress corrosion of constructional elements and the need for developing closed-form solutions are highlighted. A new analytical solution is presented for the plane problem of themechanochemical corrosion of an elastic plate with an elliptical hole under uniform remote tension. The rate of corrosion is supposed to be linear with the maximum principal stress at a corresponding point on the hole surface. The solution obtained can serve for the study of the mechanochemical effect on the corrosion damage propagation. It is proved that the stress concentration factor at a noncircular hole can either increase or decrease, or stay invariant during the corrosion process, depending on the relationship between the corrosion kinetics constants and applied stress.